Her average rate of the entire trip would be 2 hours since 12mph for 10 miles and 12 miles going 10mph would crossed each other out and have 10 miles go 10mph (1 hour) and 12 miles going 12mph(1 hour)
1+1=2
Answer: a=10
Step-by-step explanation:
Answer:
Kindly check explanation
Step-by-step explanation:
Given :
Sample size, n = 30
Tcritical value = 2.045
Null hypothesis :
H0: μ = 9.08
Alternative hypothesis :
H1: μ≠ 9.08
Sample mean, m = 8.25
Samole standard deviation, s = 1.67
Test statistic : (m - μ) ÷ s/sqrt(n)
Test statistic : (8.25 - 9.08) ÷ 1.67/sqrt(30)
Test statistic : - 0.83 ÷ 0.3048988
Test statistic : - 2.722
Tstatistic = - 2.722
Decision region :
Reject Null ; if
Tstatistic < Tcritical
Tcritical : - 2.045
-2.722 < - 2.045 ; We reject the Null
Using the α - level (confidence interval) 0.05
The Pvalue for the data from Tstatistic calculator:
df = n - 1 =. 30 - 1 = 29
Pvalue = 0.0108
Reject H0 if :
Pvalue < α
0.0108 < 0.05 ; Hence, we reject the Null
Answer:
About 360.178 feet
Step-by-step explanation:
So we want the vertical distance between the fertilizer and the ground to be 0.
This going to be about the time the pilot has dropped it
So we first need to find when y is 0.

We are going to use the quadratic formula to solve for t:



The quadratic formula is:






So the pilot has released it at about 4.237391774 seconds since the fertilizer has actually hit the ground at roughly this time.
So we want to know the horizontal distance at t=4.237391774:



360.178 feet
Answer:
gradient = 3
Step-by-step explanation:
Calculate the gradient using the slope formula
m = 
with (x₁, y₁ ) = - 6, 4) and (x₂, y₂ ) = (- 4, 10)
m =
=
= 3